Bryce forgot how much he spent on a new video game but he did remember meer de palo 8.57% tax and that came to be $12.75. What is the original price of the video game?​

Answer:

\(x=\frac{28}{9}\)

Step-by-step explanation:

\(\frac{3x}{4} =\frac{7}{4}\)

\(\Longleftrightarrow \left( 3x\right) \times 3=7\times 4\)

\(\Longleftrightarrow 9x=28\)

\(\Longleftrightarrow x=\frac{28}{9}\)

Answer:

28,339 lbs

Step-by-step explanation:

If the lifting force exerted on an airplane wing varies jointly as the area of the wing's surface and the square of the plane's velocity then:

\(F \propto Av^2 \implies F=kAv^2\)

Where:

Given:

Substitute the given values into the found equation and solve for k (variation constant):

\(\begin{aligned}F & = kAv^2\\\\10500 & = k \cdot 180 \cdot 140^2\\10500 & = 3528000k\\k & = \dfrac{10500}{3528000}\\\implies k & = \dfrac{1}{336}\end{aligned}\)

Therefore:

\(\boxed{ F=\dfrac{1}{336}Av^2}\)

To find the lifting force (F) when the plane speeds up to 230 mph, substitute the given area of the wing (A = 180 ft²) and the new velocity (v = 230 mph) into the equation and solve for F:

\(\begin{aligned}F&=\dfrac{1}{336}Av^2\\\implies F& = \dfrac{1}{336} \cdot 180 \cdot 230^2\\& = \dfrac{1}{336} \cdot 180 \cdot 52900\\& = \dfrac{1}{336} \cdot 9522000\\& = \dfrac{9522000}{336} \\& =28339.2857...\\&=28339\;\sf lbs \; (nearest\:pound)\end{aligned}\)

Therefore, the lifting force is 28,339 lbs (nearest pound).

Answer:

$3606.44

Step-by-step explanation:

The question asks us to calculate the principal amount that needs to be invested in order to earn an interest of $6180 in 28 years at an annual interest rate of 6.12%.

To do this, we need to use the formula for simple interest:

\(\boxed{I = \frac{P \times R \times T}{100}}\),

where:

I = interest earned

P = principal invested

R = annual interest rate

T = time

By substituting the known values into the formula above and then solving for P, we can calculate the amount that James needs to invest:

\(6180 = \frac{P \times 6.12 \times 28}{100}\)

⇒ \(6180 \times 100 = P \times 171.36\)     [Multiplying both sides by 100]

⇒ \(P = \frac{6180 \times 100}{171.36}\)    [Dividing both sides of the equation by 171.36]

⇒ \(P = \bf 3606.44\)

Therefore, James needs to invest $3606.44.

Answer:

x = the number of kg of cement

3x = number of kg of sand

4x = number of kg of gravel

x + 3x + 4x = 480

8x = 480, so x = 60

60 kg of cement

3(60) = 180 kg of sand

4(60) = 240 kg of gravel

Bob will need 180 kg of sand.

Answer:

Step-by-step explanation:

Area of a rectangle = l × w

where

l is the length

w is the width

From the question

length = 99 m

width = 87 m

Substitute the values into the above formula and solve for the area

That's

Area = 99 × 87

We have the final answer as

Area = 8613

Hope this helps you

The length of the hypotenuse is 12.52 yards.

Given that a right triangle, we need to find the value of the hypotenuse x,

Trigonometric ratios can be calculated by taking the ratio of any two sides of the right-angled triangle.

We can evaluate the third side using the Pythagoras theorem, given the measure of the other two sides. We can use the abbreviated form of trigonometric ratios to compare the length of any two sides with the angle in the base.

Let us consider a right-angled triangle with one of its acute angles to be x. Then the cosine formula is, cos x = (adjacent side) / (hypotenuse), where "adjacent side" is the side adjacent to the angle x, and "hypotenuse" is the longest side (the side opposite to the right angle) of the triangle.

We know that, the cosine of the angle is the ratio of the base to the hypotenuse,

So,

Cos 37° = 10 / x

x = 10 / Cos 37°

x = 12.52

Hence the length of the hypotenuse is 12.52 yards.

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Answer:

She will need to buy 3 packs to make 6 different balloon animals.

Step-by-step explanation:

Given that the balloon artist wants to make 6 different animals, and each animal involves using 4 balloons, to make those 6 animals she must use 24 balloons, as the following calculation shows:

6 x 4 = 24

Now, since the balloons come in packs of 8 units, to make those 6 animals she must buy 3 packs of balloons, as this calculation also shows:

24 / 8 = 3.

Answer:

here :

Step-by-step explanation:

To construct the quadrilateral PQRS with the given measurements, follow these steps:

Draw a line segment PQ with a length of 5.2 cm.

From point P, draw a line segment PR with a length of 7 cm in the desired direction.

From point Q, draw a line segment QR with a length of 2.3 cm in the desired direction, ensuring it intersects line segment PR at point R.

From point R, draw a line segment RS with a length of 4.4 cm in the desired direction, ensuring it intersects line segment PQ at point S.

From point S, draw a line segment SP with a length of 6.2 cm, connecting it back to point P.

Check that the sides PQ, QR, RS, and SP match the given measurements.

Make sure to use a ruler and compass for accurate measurements and constructions.

The measure of distance x, that is, the distance between a point P and the point of horizon, is equal to 284.372 miles.

In this problem we must determine the distance between a point P located about earth's circumference and the point of horizon, located on earth's circumference. Since the line between these two points is tangent to earth, then, distance x can be found by Pythagorean theorem:

x = √[(3959 mi + 10.2 mi)² - (3959 mi)²]

x = 284.372 mi

The distance x is equal to 284.372 miles.

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We can assume the age of the groom is represents by the variable "x."

According to the given tradition in the Pythagorean Planet, the sum of the square of the bride's age (33^2) and the square of the groom's age (x^2) must be equal to the square of the age of the bride's father (500^2).

Therefore, we can set up the equation:

\( 33^2 + 500^2 = x^2 \\ 1089 + x^2 = 250000 \\ x^2 = 250000-1089 = 248911 \\ x = \sqrt{248911} \approx 498.91 \)

Therefore, the groom was approximately 498.91 years old when Juniper got married.

From the dot plot in this problem, we have that there are 12 dogs in the shelter, with a typical weight of 50 pounds, which is the median of the data-set.

The median of a data-set is the middle value of a data-set, the value of which 50% of the measures are less than and 50% of the measures are greater than. Hence, the median also represents the 50th percentile of a data-set.

The dot plot shows how many times each weight was observed, hence the number of dogs in the shelter is given as follows:

12.

The median is the mean of the 6th and 7th elements, in an increasing way, which are both 50, hence it is aso of 50 pounds, representing the typical weight of a dog.

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Nathaniel drinks 3 glasses of water in one hour.

To find out how many glasses of water Nathaniel drinks in one hour, we need to calculate his drinking rate per hour.

In 2 2/5 hours, Nathaniel drinks 4/5 of a 10-ounce glass of water.

Let's convert the mixed number of hours to an improper fraction:

\(2\frac{2}{5} = \frac{(5 \times2 + 2)}{5}\)

\(=\frac{12}{5}\)

Now, we can set up a proportion to find his drinking rate per hour.

We know that \(\frac{12}{5}\) hours corresponds to \(\frac{4}{5}\) of a glass of water.

Let's assign "x" as the number of glasses he drinks in one hour.

The proportion is then

\(\frac{(\frac{12}{5} hours) }{(x glasses) } =\frac{(\frac{4}{5} glass)}{(1 hour)}\)

Cross-multiplying gives us

\((\frac{12}{5} )\times1=\frac{4}{5}\times(x)\)

Simplifying, we get

\(\frac{12}{5} =\frac{4}{5}\times x\)

Dividing both sides by \(\frac{4}{5}\), we find x:

\(x=\frac{(\frac{12}{5} )}{\frac{4}{5} }\)

\(x=\frac{12}{4}\)

\(x = 3.\)

Therefore, Nathaniel drinks 3 glasses of water in one hour.

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Answer:

none of these

Step-by-step explanation:

Answer:

5.1

Step-by-step explanation:

we have

5.1436

since 4 is less than five we cannot pass the 1 to 2

so it stays like

5.1

Answer:

Step-by-step explanation:

Answer:

Desmos graphing tool online

Step-by-step explanation:

Y-intercept= 6

X-intercept= 24

Rise. 1

-------- = negative -------

Run. 4

Answer:

the slope is 1/2

Step-by-step explanation:

We can just use the formula to get the slope

y1-y2 / x1-x2

Fit in both points to get:

3-5 / -2-2

Then, simple algebra gets us:

-2/-4

Simplifying the fraction gives us : 1/2 as the slope

Answer:

Right triangle JKL with JK measuring 33, angle J measures 60 degrees and angle L measure 30 degrees. 33rad … ical 3 66 33radical 2 16.5 5 Select the correct answer. 2 2

Step-by-step explanation:

Answer:

the problem is 1/7x+1/8?

The equation of the line in fully simplified slope-intercept form is y = x + 7.

We have,

From the graph,

The coordinates of the line are:

(0, 7), (-7, 0), and (-2, 5).

We can use any coordinates the line touches on the graph.

We will use,

(0, 7) and (-7, 0)

The equation can be written in the form y = mx + c

m = (0 - 7) / (-7 - 0)

m = -7/-7

m = 1 ______(1)

And,

(0, 7) = (x, y)

So,

y = mx + c ______(2)

7 = 1 x 0 + c

7 = c

c = 7 ______(3)

Now,

From (1), (2), and (3).

y = x + 7

Thus,

The equation of the line in fully simplified slope-intercept form is y = x + 7.

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Answer:

it is A trust me :)

Step-by-step explanation:

Answer:

AC is 2sqrt(13)

BD is 9

Step-by-step explanation:

AC is 2sqrt(13) from the pythagorean theorem

BD is equal to 9 after doing so trig

Answer:

75

Step-by-step explanation:

5+10+15+20+25=75

Answer:

Refer to the attachment

Answer:

Step-by-step explanation:

An equation can be set up and solved based on the relation between the two speeds and the relation between time, speed, and distance.

  time = distance/speed

Let x represent the (slower) speed on the way home. Then the total time for the round trip was ...

  time going + time coming home = total time

  270/(x +11) +270/x = 9

  30x +30(x +11) = x(x +11) . . . . . . multiply by x(x+11)/9

  x^2 -49x -330 = 0 . . . . . . . .  rewrite in standard form

  (x -55)(x +6) = 0 . . . . . . . . factor

x = 55 or x = -6 . . . . . . . solutions to this equation; x < 0 is extraneous

Justin's rate on the way there was 66 mph; on the way home, it was 55 mph.

Answer:

yes

Step-by-step explanation:

Answer:

i have gotten 160.5

Step-by-step explanation:

The total amount of money which the Stewart family would have to pay into the annuity each quarter is $242.12.

Mathematically, annuity can be calculated by using this formula:

\(A = P[\frac{(1+\frac{r}{n} )^{nt} - 1)}{\frac{r}{n} }]\)

Given the following data:

Substituting the given parameters into the formula, we have;

\(13000 = P[\frac{(1+\frac{0.036}{4} )^{4 \times 11} - 1)}{\frac{0.036}{4} }]\\\\13000 = P[\frac{(1+0.009 )^{44} - 1)}{0.009 }]\\\\13000 = P[\frac{(1.009 )^{44} - 1)}{0.009 }]\\\\13000 = P[\frac{1.48323960867 - 1}{0.009 }]\\\\13000 = P[\frac{0.48323960867 }{0.009 }]\\\\13000 = 53.6932898522P\)

P = 13000/53.6932898522

P = $242.12.

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Complete Question:

The Stewart family wants to save money to travel the world. They plan to invest in an ordinary annuity that earns 3.6% interest, compounded quarterly. Payments will be made at the end of each quarter. How much money do they need to pay into the annuity each quarter for the annuity to have a total value of $13,000 after 11 years?

Answer:

The answer to the question provided is option 2.

Answer:

1. 70,000 2. 135,200

Step-by-step explanation:

The number of days that he was in Europe will be 42 days.

A fraction simply means a piece of a whole. In this situation, the number is represented as a quotient such that the numerator and denominator are split. In this situation, in a simple fraction, the numerator as well as the denominator are both integers.

Since Jordan went to Europe for vacation. He spent 1/3 of his time in Spain.

If he was in Spain for 14 days, the number of days that he was in Europe will be:

1/3 × x = 14

x = (14 × 3)

x = 42 days

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Jordan went to Europe for vacation. He spent 1/3 of his time in Spain. If he was in Spain for 14 days, how long was he in Europe?

Answer:

Step-by-step explanation:

We know that:

Work:

Check:

Since both of them are equal, this proves that we are correct.